Question on Sequence A046907 from Sloane's Database

[James A. Sellers]

Dear Members of SeqFan, 

I have only been a member of this list for a few days, so forgive me if this is an inappropriate message to send!!  

I have a question on sequence A046907, which gives the values of n for which binomial(2n-1, n) is squarefree.   The sequence is 1,2,3,4,6,9,10,12,36.  I have now tried n=37 up to 1500 and have not found another term for the sequence.  Is this sequence known to be finite??  That would be an interesting result, if it is known. 

Thanks for your time!  I hope to hear from some of you soon.

James

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James A. Sellers
Associate Professor, Mathematics
Cedarville College

sellersj at cedarville.edu
http://www.cedarville.edu/dept/sm/jas_www.htm